{"title":"微分方程的最优镇定","authors":"D. Khusainov, A. V. A. V. Shatyrko, Z. R. Hahurin","doi":"10.17721/2706-9699.2022.2.18","DOIUrl":null,"url":null,"abstract":"The paper considers the task of optimal stabilization for linear stationary differential equations. Usage of Lyapunov functions for optimal stabilization. We prove the theorem about optimal stabilization and determine the expression of optimal control for considered class of tasks.","PeriodicalId":40347,"journal":{"name":"Journal of Numerical and Applied Mathematics","volume":"6 1","pages":""},"PeriodicalIF":0.1000,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"OPTIMAL STABILIZATION FOR DIFFERENTIAL EQUATIONS\",\"authors\":\"D. Khusainov, A. V. A. V. Shatyrko, Z. R. Hahurin\",\"doi\":\"10.17721/2706-9699.2022.2.18\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The paper considers the task of optimal stabilization for linear stationary differential equations. Usage of Lyapunov functions for optimal stabilization. We prove the theorem about optimal stabilization and determine the expression of optimal control for considered class of tasks.\",\"PeriodicalId\":40347,\"journal\":{\"name\":\"Journal of Numerical and Applied Mathematics\",\"volume\":\"6 1\",\"pages\":\"\"},\"PeriodicalIF\":0.1000,\"publicationDate\":\"2022-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Numerical and Applied Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.17721/2706-9699.2022.2.18\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Numerical and Applied Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.17721/2706-9699.2022.2.18","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The paper considers the task of optimal stabilization for linear stationary differential equations. Usage of Lyapunov functions for optimal stabilization. We prove the theorem about optimal stabilization and determine the expression of optimal control for considered class of tasks.